We establish some inequalities of Chen’s type between certain intrinsic invariants (involving sectional, Ricci and scalar curvatures) and the squared mean curvature of submanifolds tangent to the structure vector fields of a generalized $S$-space-form and we discuss the equality cases of them. We apply the obtained results to slant submanifolds.
Field : Fen Bilimleri ve Matematik
Journal Type : Uluslararası
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